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25 Oct 2018: pair of requirements: They are suciently well–behaved that they’re infinitely dierentiable. ... compact support to the requirement simply that it decays suciently rapidly as |x|!

31 May 2024: This conceptleads us to our final requirement: we require that, given any two distinct points, there. ... To do this, simply replace one of T. p(M) entries with a basis vector.

24 Dec 2014: iswitchb-fc.el --- switch to buffers or file-cache entries with 1 command. ... bbdb-gnokii.el --- Export phone entries from BBDB to a gnokii contacts file.

16 Jun 2022: Setting the imaginary part of ⟨Ô⟩ψ to zero leads us tothe requirement Ô = Ô†, i.e. ... H1 H2 H and Ĥ1 = Ĥ2 = Ĥ. Then wefind a new requirement that any state has to fulfil.

13 Dec 2018: q. where h0 dh=dx, the matrix entries. can be approximated by. ... Secondly, ourexperience on waveguide problems has been that L–Rsplitting has been much more efficient in both speed andmemory requirements than, for example, MLFMM.

22 Jul 2014: 86). • The next point is that progression requirements and vocational provision are mis-matched. ... Here, the requirements of the post-KS4 stage have institutionalized a range of perverse incentives.

18 Jul 2024: The requirement that its determinant is 1 reduces this to 3 complex parameters, or 6. ... we’re missing something. What we’re missing is the additional requirement that the.

2 Sep 2006: as (2.2) and determine uniquely the coefficientsai, bi of the splitting method from a particular K(x) with polynomial entries. ... dj x2j , (4.2). where the coefficients dj are uniquely determined by the requirement that.

9 Jun 2021: in which the entries of J are again partial derivatives at afixed point ðu; v; wÞ of the homogeneous system. ... However, why thethreshold should be “large” in the first place remainsunclear; this does not follow from the requirement ofunequal

18 Dec 2023: entries. Then for each t > 0(1) limN P(δ > t) = et if each entry of A is exponentially distributed.(2) limN P(δ > tσ/. ... 6.2). As the distribution for the entries of A is absolutely continuous with respect to the Lebesgue measure on RN ,we can

30 May 2015: Indeed, typicalimages have larger and therefore more important entries intheir coarser wavelet coefficients, whereas the finer waveletcoefficients are unlikely to contain important details. ... a parameter ηs,M.Further work in [12] has shown that this

2 Jul 2024: This is a strong requirement. First, it relates the absorption and stimulated emission coecients. ... g1B12 = g2B21 (4.29). We see that, as promised, it is a thermodynamic requirement that stimulated emission.

8 Oct 2021: the inner product is antilinear in its first entry, it’s important that our chosen element. ... 6The requirement that the space be complete in the norm (2.14) is rather subtle.

19 Oct 2013: Using today's server requirements, Linux is a credible alternative to commercial developed servers in many, high volume applications.

31 Aug 2006: 6. Step 2 Calculate use_at_dist_sq entries for the panel, the procedure in Section 7.1being recommended. ... An entry of the form x.yz(b) in the table indicatesthe number x.yz 10b.

16 Oct 2021: This is the UV cut-off. Λ. Recall that, implicit in our construction of the theory is the requirement that the Fourier modes.

2 Nov 2018: rate of the entries in Q. In this sense, the computation of the double oscillatory integralrepresenting the entry is particularly important. ... matrix and then considers in some detail the asymptotic properties of the matrix entries.

26 Jun 2024: requirement that the wavefunction should be periodic, so that. ψ(x 2πR) = ψ(x). ... Not all solutions (2.5) obey this requirement. We must have. eik(x2πR) = eikx e2πikR = 1.

30 May 2015: Indeed, typicalimages have larger and therefore more important entries intheir coarser wavelet coefficients, whereas the finer waveletcoefficients are unlikely to contain important details. ... a parameter ηs,M.Further work in [12] has shown that this

18 Jul 2024: For now, we can. just do some simple counting. A general complex 2 2 matrix has 4 complex entries.The requirement that its determinant is 1 reduces this to 3 complex